论文标题
预先开发课程中的痕量财产
The trace property in preenveloping classes
论文作者
论文摘要
我们将痕量模块的理论发展为同构，并探讨了模块的细节类别与作为痕量模块的属性之间的关系，并在给定模块中是否在给定的preenvelope中是跟踪的问题。结果，我们确定了痕量理想和痕量模块的新示例，并表征了几类环，重点是Gorenstein和常规特性。
We develop the theory of trace modules up to isomorphism and explore the relationship between preenveloping classes of modules and the property of being a trace module, guided by the question of whether a given module is trace in a given preenvelope. As a consequence we identify new examples of trace ideals and trace modules, and characterize several classes of rings with a focus on the Gorenstein and regular properties.
